Orthogonal Matrices and Gram-Schmidt

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Taught by OCW
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4915 views | 2 ratings
Lesson Description:

Orthogonal Matrices and bases, and Gram-Schmidt -- Lecture 17. Learn what an orthonormal vector and basis looks like and why it is convenient.

Gilbert Strang, 18.06 Linear Algebra, Spring 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 22, 2008). License: Creative Commons BY-NC-SA.
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Additional Resources:
Questions answered by this video:
  • What is an orthogonal basis?
  • What is an orthogonal matrix?
  • What is Gram-Schmidt?
  • What are orthonormal vectors?
  • What is an orthonormal basis?
  • Staff Review

    • Currently 4.0/5 Stars.
    The final lecture on orthogonality. This video is a great explanation of orthogonal matrices, orthogonal bases, and Gram-Schmidt. A must see if you want a sort of wrap-up of orthogonal vectors, bases, matrices, projections, and other orthogonal topics.